Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂²×C₈

Direct product G=N×Q with N=C₁₄ and Q=C₂²×C₈

		d	ρ	Label	ID
C₂³×C₅₆		448		C2^3xC56	448,1348

Semidirect products G=N:Q with N=C₁₄ and Q=C₂²×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁(C₂²×C₈) = D₇×C₂²×C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14:1(C2^2xC8)	448,1189
C₁₄⋊₂(C₂²×C₈) = C₂³×C₇⋊C₈	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448		C14:2(C2^2xC8)	448,1233

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂²×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₂²×C₈) = C₈×Dic₁₄	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.1(C2^2xC8)	448,212
C₁₄.₂(C₂²×C₈) = D₇×C₄×C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.2(C2^2xC8)	448,218
C₁₄.₃(C₂²×C₈) = C₄².₂₈₂D₁₄	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.3(C2^2xC8)	448,219
C₁₄.₄(C₂²×C₈) = C₈×D₂₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.4(C2^2xC8)	448,220
C₁₄.₅(C₂²×C₈) = Dic₇.₅M₄(2)	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.5(C2^2xC8)	448,252
C₁₄.₆(C₂²×C₈) = D₇×C₂²⋊C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	112		C14.6(C2^2xC8)	448,258
C₁₄.₇(C₂²×C₈) = C₇⋊D₄⋊C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.7(C2^2xC8)	448,259
C₁₄.₈(C₂²×C₈) = Dic₁₄⋊C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.8(C2^2xC8)	448,364
C₁₄.₉(C₂²×C₈) = D₇×C₄⋊C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.9(C2^2xC8)	448,366
C₁₄.₁₀(C₂²×C₈) = C₄².₂₀₀D₁₄	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.10(C2^2xC8)	448,367
C₁₄.₁₁(C₂²×C₈) = D₂₈⋊C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.11(C2^2xC8)	448,368
C₁₄.₁₂(C₂²×C₈) = D₇×C₂×C₁₆	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.12(C2^2xC8)	448,433
C₁₄.₁₃(C₂²×C₈) = C₂×C₁₆⋊D₇	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.13(C2^2xC8)	448,434
C₁₄.₁₄(C₂²×C₈) = D₂₈.₄C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	2	C14.14(C2^2xC8)	448,435
C₁₄.₁₅(C₂²×C₈) = D₇×M₅(2)	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	112	4	C14.15(C2^2xC8)	448,440
C₁₄.₁₆(C₂²×C₈) = C₁₆.₁₂D₁₄	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224	4	C14.16(C2^2xC8)	448,441
C₁₄.₁₇(C₂²×C₈) = C₂×C₈×Dic₇	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.17(C2^2xC8)	448,632
C₁₄.₁₈(C₂²×C₈) = C₂×Dic₇⋊C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.18(C2^2xC8)	448,633
C₁₄.₁₉(C₂²×C₈) = C₂×D₁₄⋊C₈	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.19(C2^2xC8)	448,642
C₁₄.₂₀(C₂²×C₈) = C₈×C₇⋊D₄	φ: C₂²×C₈/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.20(C2^2xC8)	448,643
C₁₄.₂₁(C₂²×C₈) = C₂×C₄×C₇⋊C₈	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448		C14.21(C2^2xC8)	448,454
C₁₄.₂₂(C₂²×C₈) = C₂×C₂₈⋊C₈	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448		C14.22(C2^2xC8)	448,457
C₁₄.₂₃(C₂²×C₈) = C₄².₆Dic₇	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224		C14.23(C2^2xC8)	448,459
C₁₄.₂₄(C₂²×C₈) = D₄×C₇⋊C₈	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224		C14.24(C2^2xC8)	448,544
C₁₄.₂₅(C₂²×C₈) = Q₈×C₇⋊C₈	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448		C14.25(C2^2xC8)	448,557
C₁₄.₂₆(C₂²×C₈) = C₂²×C₇⋊C₁₆	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	448		C14.26(C2^2xC8)	448,630
C₁₄.₂₇(C₂²×C₈) = C₂×C₂₈.C₈	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224		C14.27(C2^2xC8)	448,631
C₁₄.₂₈(C₂²×C₈) = C₅₆.₇₀C₂³	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224	4	C14.28(C2^2xC8)	448,674
C₁₄.₂₉(C₂²×C₈) = C₂×C₂₈.₅₅D₄	φ: C₂²×C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₄	224		C14.29(C2^2xC8)	448,740
C₁₄.₃₀(C₂²×C₈) = C₁₄×C₂²⋊C₈	central extension (φ=1)	224		C14.30(C2^2xC8)	448,814
C₁₄.₃₁(C₂²×C₈) = C₁₄×C₄⋊C₈	central extension (φ=1)	448		C14.31(C2^2xC8)	448,830
C₁₄.₃₂(C₂²×C₈) = C₇×C₄².₁₂C₄	central extension (φ=1)	224		C14.32(C2^2xC8)	448,839
C₁₄.₃₃(C₂²×C₈) = D₄×C₅₆	central extension (φ=1)	224		C14.33(C2^2xC8)	448,842
C₁₄.₃₄(C₂²×C₈) = Q₈×C₅₆	central extension (φ=1)	448		C14.34(C2^2xC8)	448,853
C₁₄.₃₅(C₂²×C₈) = C₁₄×M₅(2)	central extension (φ=1)	224		C14.35(C2^2xC8)	448,911
C₁₄.₃₆(C₂²×C₈) = C₇×D₄○C₁₆	central extension (φ=1)	224	2	C14.36(C2^2xC8)	448,912

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Extensions 1→N→G→Q→1 with N=C14 and Q=C22×C8

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂²×C₈